[問題] 有關差分方程

[koien (讓愛放長假留給時間慢慢먩]

問一題非線性的差分方程.....
Xt+1=aXt(1-Xt)
for 0<a<4 ,X=0 is an equilibrium.Besides,there is another equilibrium.
(a)For 1<a<4,determine whether 0 is a stable equilibrium X*
(b)For 1<a<4,caculate the non-zero equilibrium X*
(c)For 1<a<3,determine whether the equilibrium X* is stable
(d)For 3<a<4,determine whether the equilibrium X* is stable

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